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249561401 is a prime number
BaseRepresentation
bin11101110000000…
…00000100111001
3122101121000212212
432320000010321
51002341431101
640432544505
76120144155
oct1670000471
9571530785
10249561401
111189641a1
126b6b2135
133c91ab8b
1425204065
1516d991bb
hexee00139

249561401 has 2 divisors, whose sum is σ = 249561402. Its totient is φ = 249561400.

The previous prime is 249561349. The next prime is 249561413. The reversal of 249561401 is 104165942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178917376 + 70644025 = 13376^2 + 8405^2 .

It is a cyclic number.

It is not a de Polignac number, because 249561401 - 222 = 245367097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (249561491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124780700 + 124780701.

It is an arithmetic number, because the mean of its divisors is an integer number (124780701).

Almost surely, 2249561401 is an apocalyptic number.

It is an amenable number.

249561401 is a deficient number, since it is larger than the sum of its proper divisors (1).

249561401 is an equidigital number, since it uses as much as digits as its factorization.

249561401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 249561401 is about 15797.5124940606. The cubic root of 249561401 is about 629.5919092223.

The spelling of 249561401 in words is "two hundred forty-nine million, five hundred sixty-one thousand, four hundred one".